Least Common Multiple (LCM) of 178 and 147
The least common multiple (LCM) of 178 and 147 is 26166.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 178 and 147?
First, calculate the GCD of 178 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 147 = 1 remainder 31 |
| 2 | 147 ÷ 31 = 4 remainder 23 |
| 3 | 31 ÷ 23 = 1 remainder 8 |
| 4 | 23 ÷ 8 = 2 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 179 | 26492 |
| 124 and 180 | 5580 |
| 10 and 55 | 110 |
| 160 and 83 | 13280 |
| 20 and 41 | 820 |